Podolski joined up with his old side earlier this week to celebrate their promotion back to the Bundesliga.
The 28-year-old, who joined Arsenal from Cologne in 2012, says he plans to see out his contract at the Emirates, but has refused to rule out a return to his homeland later in his career.
"The Bundesliga is one of the best leagues in the world and therefore, in principle, is always interesting," Podolski told Transfermarkt.
"In the Bundesliga, my thoughts naturally turn first to [Cologne]. That is much more than a club for me, this is my home.
"Maybe I'll return one day; that is, for me, always an option and matter of the heart.
"I would also like to meet my Arsenal contract. But as I said, yes, you never know in football.
"Sometimes everything happens very quickly."